* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (160 enodes)
* * [misc]simplify:  iters left: 3 (454 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (sqr (fma i 2 alpha))) into (/ i (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ i (sqr (fma i 2 alpha))) 0) into (/ i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ i (sqr (fma i 2 alpha)))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) 0) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (* 1 (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (* 1 (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha)))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha)))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))) (* 0 (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (fma i 2 alpha) 3)) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ 1 (pow (fma i 2 alpha) 3)) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (fma i 2 alpha) 3)) (* 1 (* (sqr beta) i))) (+ (* (- (/ 1 (sqr (fma i 2 alpha)))) (* 1 (* beta i))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 i))))) into (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* (- (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 1 (* (pow (/ 1 beta) 3) (/ 1 (/ 1 i))))) (+ (* (- (fma (/ 1 i) 2 (/ 1 alpha))) (* 1 (* (sqr (/ 1 beta)) (/ 1 (/ 1 i))))) (* 1 (* 1 (* (/ 1 beta) (/ 1 (/ 1 i))))))) into (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* 1 (* (pow (/ 1 (- beta)) 3) (/ 1 (/ 1 (- i)))))) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* 1 (* (sqr (/ 1 (- beta))) (/ 1 (/ 1 (- i)))))) (* 1 (* 1 (* (/ 1 (- beta)) (/ 1 (/ 1 (- i)))))))) into (- (+ (/ i beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (351 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ i beta)) (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))))
* * * * [misc]progress:  [ 2 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * * * [misc]progress:  [ 3 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (276 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i)))
* * * * [misc]progress:  [ 4 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (388 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (+ i alpha)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 5 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (491 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 6 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (fma (/ i beta) alpha (fma (/ i beta) i i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 7 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (* (fma i (+ beta (+ i alpha)) (* beta alpha)) i)) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 8 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (477 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (fma (+ (/ i beta) (/ alpha beta)) (/ i (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 9 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (477 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (fma (+ (/ i beta) (/ alpha beta)) (/ i (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 10 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (434 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (fma (/ i (fma i 2 alpha)) (- (* (/ beta (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ beta (fma i 2 alpha))) (/ i (fma i 2 alpha))))
* * * * [misc]progress:  [ 11 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (206 enodes)
* * [misc]simplify:  iters left: 2 (484 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* (/ beta i) beta)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* (/ beta i) beta)))))
* * * * [misc]progress:  [ 12 / 118 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ i beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ i beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (425 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (fma (/ i beta) (sqr (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (/ i beta) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* beta (/ beta i))))))
* * * * [misc]progress:  [ 13 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 14 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 15 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) 1))>
* * * * [misc]progress:  [ 16 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 17 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 18 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (394 enodes)
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* * * * [misc]progress:  [ 19 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (309 enodes)
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 20 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 21 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (320 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 22 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 23 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 24 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 25 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 26 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 27 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 28 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 29 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 30 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 31 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 32 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 33 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 34 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 35 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 36 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 37 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (457 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 38 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 39 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* * * * [misc]progress:  [ 40 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 41 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* * * * [misc]progress:  [ 42 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (344 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 43 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 44 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))) (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* * * * [misc]progress:  [ 45 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))) (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* * * * [misc]progress:  [ 46 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 47 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 48 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 49 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 50 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 51 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 52 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 53 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 54 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* * * * [misc]progress:  [ 55 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 56 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 57 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 58 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (294 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 59 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 60 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * * * [misc]progress:  [ 61 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 62 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 63 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 64 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 65 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 66 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 67 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 68 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 69 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 70 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 71 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 72 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 73 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 74 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (/ 1 (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 75 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3)))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 76 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha))))) (- beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 77 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 78 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 79 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * * * [misc]progress:  [ 80 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 81 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (log1p (expm1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 82 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (expm1 (log1p (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log1p (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 83 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (pow (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) 1) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 84 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (exp (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 85 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (exp (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 86 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (log (exp (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (exp (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 87 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cbrt (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 88 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cube (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 89 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cbrt (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 90 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 91 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 92 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 93 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (+ (+ beta alpha) i)) (- (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (- (+ alpha (+ i beta)))
* [exit]simplify:  Simplified to (- (+ alpha (+ i beta)))
* [enter]simplify:  Simplifying (- (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 94 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ 1 1) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 95 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* 1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 96 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (+ (+ beta alpha) i) (/ 1 (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 97 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ 1 (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* * * * [misc]progress:  [ 98 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (/ (+ (+ beta alpha) i) 1) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (+ alpha i)) 1)
* [exit]simplify:  Simplified to (/ (+ beta (+ alpha i)) 1)
* * * * [misc]progress:  [ 99 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ 1 (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* * * * [misc]progress:  [ 100 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (- (pow beta 3) (pow (fma i 2 alpha) 3))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (- (pow beta 3) (pow (fma i 2 alpha) 3)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (- (cube beta) (cube (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (- (cube beta) (cube (fma i 2 alpha))))
* * * * [misc]progress:  [ 101 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 102 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (pow (+ beta alpha) 3) (pow i 3)) (* (+ beta (fma i 2 alpha)) (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (fma (- i (+ alpha beta)) i (sqr (+ alpha beta))))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (fma (- i (+ alpha beta)) i (sqr (+ alpha beta))))
* * * * [misc]progress:  [ 103 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (sqr (+ beta alpha)) (sqr i)) (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 104 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (log1p (expm1 (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (expm1 (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (expm1 (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 105 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (expm1 (log1p (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log1p (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log1p (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 106 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (pow (/ i (+ beta (fma i 2 alpha))) 1)) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 107 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (exp (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 108 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (log (exp (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (exp (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 109 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (cube (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 110 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (cbrt (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (cube (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cube (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 111 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (sqr (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (sqrt (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 112 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (- i) (- (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- i)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- i)
* [exit]simplify:  Simplified to (- i)
* [enter]simplify:  Simplifying (- (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 113 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (* 1 (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 114 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (* i (/ 1 (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 115 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ 1 (/ (+ beta (fma i 2 alpha)) i))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) i)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) i)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) i)
* * * * [misc]progress:  [ 116 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (/ i 1) (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ i 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ i 1)
* [exit]simplify:  Simplified to (/ i 1)
* * * * [misc]progress:  [ 117 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (* (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ i (- (cube beta) (cube (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ i (- (cube beta) (cube (fma i 2 alpha))))
* * * * [misc]progress:  [ 118 / 118 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (* (/ i (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ i (- (sqr beta) (sqr (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (/ i (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))))) (* (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) 0) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (sqr (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))))) (+)) (* 2 0)) into (* +nan.0 (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr alpha)) (pow (+ beta (fma i 2 alpha)) 4))) (- (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr beta)) (pow (+ beta (fma i 2 alpha)) 4))) (- (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (* beta alpha)) (pow (+ beta (fma i 2 alpha)) 4)))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr alpha)) (pow (+ beta (fma i 2 alpha)) 4))) (- (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr beta)) (pow (+ beta (fma i 2 alpha)) 4))) (- (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (* beta alpha)) (pow (+ beta (fma i 2 alpha)) 4)))))))))) (+ (* (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))) (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))))) (* (* +nan.0 (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr alpha)) (pow (+ beta (fma i 2 alpha)) 4))) (- (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr beta)) (pow (+ beta (fma i 2 alpha)) 4))) (- (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (* beta alpha)) (pow (+ beta (fma i 2 alpha)) 4))))))))) 0))) into (- (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr alpha)) (pow (+ beta (fma i 2 alpha)) 4))) (- (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr beta)) (pow (+ beta (fma i 2 alpha)) 4))) (- (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (* beta alpha)) (pow (+ beta (fma i 2 alpha)) 4))))))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr alpha)) (pow (+ beta (fma i 2 alpha)) 4))) (- (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr beta)) (pow (+ beta (fma i 2 alpha)) 4))) (- (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (* beta alpha)) (pow (+ beta (fma i 2 alpha)) 4)))))))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (* -1 (/ (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr alpha)) (pow (+ beta (fma i 2 alpha)) 4))) (- (+ (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr beta)) (pow (+ beta (fma i 2 alpha)) 4))) (- (* +nan.0 (/ (* (sqr (fma i (+ beta (+ alpha i)) (* beta alpha))) (* beta alpha)) (pow (+ beta (fma i 2 alpha)) 4))))))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))) into (* (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))) (/ 1 (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ i (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) 0) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha)))) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))))) into (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ beta i))) (/ 1 (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))) (/ 1 (+ beta (fma i 2 alpha)))) (* (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))) (/ 1 (+ beta (fma i 2 alpha))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))) into (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))))) into (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))) (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))) into (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))))) into (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))) (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))) (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha))))) (* (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha)))) (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ i (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (/ 1 (fma i 2 alpha))))) into (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (+ (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) 0) (* (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (pow (fma i 2 alpha) 3))) (+ (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (- (/ i (sqr (fma i 2 alpha))))) (* (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (/ i (fma i 2 alpha))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)))) (sqr (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha))))) (+)) (* 2 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (pow (fma i 2 alpha) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (pow (fma i 2 alpha) 3)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (fma i 2 alpha) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (fma i 2 alpha) 4))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (fma i 2 alpha))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (fma i 2 alpha) 4))))))))) (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))) (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (pow (fma i 2 alpha) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (pow (fma i 2 alpha) 3)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (fma i 2 alpha) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (fma i 2 alpha) 4))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (fma i 2 alpha))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (fma i 2 alpha) 4))))))))) (fma i 2 alpha))))) (+ (* (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha))))) (* (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (pow (fma i 2 alpha) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (pow (fma i 2 alpha) 3)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (fma i 2 alpha) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (fma i 2 alpha) 4))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (fma i 2 alpha))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (fma i 2 alpha) 4))))))))) (fma i 2 alpha)))) (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (fma i 2 alpha) 3) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) 0) into (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (sqr (* i (* 1 beta)))) (+ (* (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (* (sqr i) (* 1 beta))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (fma i 2 alpha)))) (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (pow (fma i 2 alpha) 3))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 alpha)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 2 (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 4) (sqr i))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 4) (sqr i))))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 4) (sqr i)))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 4) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 4) (sqr i))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 4) (* (sqr i) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) 1) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) 1) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) (* 2 0)) into (* +nan.0 (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) (+ (* (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) 0)))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))))))) 1) (+ (* (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) into (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) into (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))) into (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))) into (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))) into (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) 1) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ 0 1)) (* (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) 0) (* (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) i))) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3))) (/ 1 i))))) into (- (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i))) (sqr (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)) (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)) (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))))))))))))))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))) (+ (* (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) (+ (* (* +nan.0 (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)) (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))))))))) 0))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) into (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr i)))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) into (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (* alpha (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* 0 (pow i 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow i 3))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 (pow i 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow i 3))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) into (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))) (* 0 (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) into (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) into (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log i)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow i 3)) (+ (* (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) into (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log i)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow i 3)) (+ (* (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) 0) into (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))) into (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))) into (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))) into (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))) into (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))) into (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))) into (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) 1) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) 1) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 0) into (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) (sqr (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3))))) (+ (* (- (* +nan.0 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ 1 (sqr (/ 1 i))) (* 1 (pow (/ 1 beta) 5)))) (* (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))) (pow beta 5))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 6))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (pow beta 6))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ -1 alpha)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (/ 1 beta) (/ 1 alpha))) 0) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha))) (* 2 (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* 1/2 (* (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 0) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) (/ -1 i)) into (- (+ (/ 1 beta) (/ 1 i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (pow (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 4) (sqr i))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (pow (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 4) (sqr i))))))) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (* (* +nan.0 (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (pow (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 4) (sqr i)))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (pow (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 4) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (pow (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 4) (sqr i))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (pow (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 4) (* (sqr i) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) 1) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) 1) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) 0)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))) 1) (+ (* (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))) into (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))) 0) into (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))))) into (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) 1) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ 0 -1)) (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ 0 -1)) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (+ (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) 0) (* (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) (/ 1 i))))) into (+ (* 4 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 4 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) (sqr (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 4 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4)))))))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 4 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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(/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))))))))))))))))))))))))))))))) 0))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 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+nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))))))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))))))))))))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr i)))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow i 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow i 3))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 (pow i 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow i 3))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow i 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow i 3))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))) (* 0 (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) into (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) into (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) into (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log i)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow i 3)) (+ (* (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) into (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log i)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow i 3)) (+ (* (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log i)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow i 3)) (+ (* (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) 0) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))))))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))))))))))))))))))))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) 1) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) 1) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) 0) into (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3))))) (+ (* (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (* (/ 1 (sqr (/ 1 (- i)))) (* 1 (pow (/ 1 (- beta)) 5)))) (* (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 6))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))))))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))) into (* (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))) (/ 1 (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ i (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) 0) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha)))) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))))) into (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ beta i))) (/ 1 (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))) into (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))))) into (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))) into (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))))) into (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 2 (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))))) into (* 1/2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) into (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))) into (* (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))))) into (- (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3))))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (* 2 (sqrt (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))))) into (* -1/2 (* (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 (sqr i))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha)) into (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 i)) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha))) into (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha)) i) (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha)) i) (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (* 1/2 (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha)) i) (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha)) i) (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha)) i) (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) 1) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (sqrt (/ 1 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i) 0) (* (* 1/2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) (* i (* 1 1))) (+ (* (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) (* 1 (* alpha 1))) (* (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) (* 1 (* 1 beta))))) into (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ alpha (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ beta (fma i 2 alpha)))) (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 alpha)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 2 (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) (* 2 0)) into (* +nan.0 (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (* +nan.0 (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* 2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) 0) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 3)))) (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ -1 alpha)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (/ 1 beta) (/ 1 alpha))) 0) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha))) (* 2 (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* 1/2 (* (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (* +nan.0 (- (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) 0) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 0 (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 3)))) (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (pow beta 3))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (sqr (fma i 2 alpha))) into (/ i (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ i (sqr (fma i 2 alpha))) 0) into (/ i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ i (sqr (fma i 2 alpha)))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) 0) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (* 1 (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (* 1 (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 1 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (fma i 2 alpha)))) (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (pow (fma i 2 alpha) 3)))))))>
* [enter]simplify:  Simplifying (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (fma i 2 alpha)))) (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (pow (fma i 2 alpha) 3))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (315 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ 3 (sqr (fma i 2 alpha))) (* (/ (* (* beta beta) (* i i)) (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* (/ (* (fma i (+ (+ beta i) alpha) (* beta alpha)) (* (* beta beta) (* i i))) (- (sqr (fma i 2 alpha)) 1.0)) (/ 4 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (- (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (sqr (fma i 2 alpha))) (/ (* i i) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (/ (pow (fma i 2 alpha) 4) (* (* beta beta) (* i i)))))) (fma (/ (/ 2 (- (sqr (fma i 2 alpha)) 1.0)) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* (* i beta) i) (fma i (+ (+ beta i) alpha) (* beta alpha))) (fma i 2 alpha)) (* (/ (* (* beta 2) (* i i)) (cube (fma i 2 alpha))) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))
* * * * [misc]progress:  [ 2 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))) (pow beta 5))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 6))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (pow beta 6)))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))) (pow beta 5))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 6))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (pow beta 6))))))))))
* * * * [misc]progress:  [ 3 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 6))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4)))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 6))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))))))))))))
* * * * [misc]progress:  [ 4 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (sqr (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ alpha (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ beta (fma i 2 alpha)))) (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ alpha (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ beta (fma i 2 alpha)))) (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (/ (sqr (fma (* 1/2 (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha)))) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha))) (/ (fma i 2 alpha) i)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 5 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (sqr (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 6 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (sqr (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (pow beta 3))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (pow beta 3))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 7 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (sqr (sqrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* * [misc]simplify:  iters left: 2 (419 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (fma i 2 alpha)) (fma (/ i (fma i 2 alpha)) alpha (* (/ i (fma i 2 alpha)) (+ i beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 8 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (sqr (sqrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (489 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 9 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (sqr (sqrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* * [misc]simplify:  iters left: 2 (357 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (+ (* (/ i beta) (+ alpha i)) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 10 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (sqr (sqrt (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) i)))
* * * * [misc]progress:  [ 11 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (sqr (sqrt (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (469 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (fma i (+ (+ i alpha) beta) (* alpha beta)) (fma i (+ (/ i beta) (/ alpha beta)) i)) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 12 / 115 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (sqr (sqrt (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (469 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (fma i (+ (+ i alpha) beta) (* alpha beta)) (fma i (+ (/ i beta) (/ alpha beta)) i)) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 13 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (expm1 (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (expm1 (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 14 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log1p (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log1p (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 15 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) 1))>
* * * * [misc]progress:  [ 16 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (log (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (log (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (- (log (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (log (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 17 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (389 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (* (* (+ (+ i beta) alpha) i) (fma i (+ (+ i beta) alpha) (* alpha beta))) (+ (fma i 2 alpha) beta)) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log (/ (/ (* (* (+ (+ i beta) alpha) i) (fma i (+ (+ i beta) alpha) (* alpha beta))) (+ (fma i 2 alpha) beta)) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 18 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (333 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 19 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (cube (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cube (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 20 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cbrt (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (cbrt (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 21 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cube (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (231 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 22 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 23 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 24 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 25 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (- (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (- (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (220 enodes)
* * [misc]simplify:  iters left: 1 (467 enodes)
* [exit]simplify:  Simplified to (* (- (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (- (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 26 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqr (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) 1) (/ (sqr (sqrt (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (/ (sqr (sqrt (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (388 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 27 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqr 1) 1) (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqr 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 1)
* [exit]simplify:  Simplified to (/ 1 1)
* [enter]simplify:  Simplifying (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (* i (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (* (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (* i (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 28 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) 1) (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ alpha i) beta) (* alpha beta))))) 1)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ alpha i) beta) (* alpha beta))))) 1)
* [enter]simplify:  Simplifying (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (sqrt (* (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 29 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 1) (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (* i (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (* (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (* i (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 30 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* * * * [misc]progress:  [ 31 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 32 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (/ (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ alpha (+ beta i)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))) i))
* [exit]simplify:  Simplified to (/ (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ alpha (+ beta i)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))) i))
* * * * [misc]progress:  [ 33 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (292 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 34 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (/ i (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (420 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 35 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr 1) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (/ (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ alpha (+ beta i)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))) i))
* [exit]simplify:  Simplified to (/ (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ alpha (+ beta i)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))) i))
* * * * [misc]progress:  [ 36 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* * [misc]simplify:  iters left: 1 (470 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (sqrt (* (/ (/ (+ alpha (+ beta i)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (* i (fma i (+ alpha (+ beta i)) (* beta alpha))))))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (sqrt (* (/ (/ (+ alpha (+ beta i)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (* i (fma i (+ alpha (+ beta i)) (* beta alpha))))))
* * * * [misc]progress:  [ 37 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (/ (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ alpha (+ beta i)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))) i))
* [exit]simplify:  Simplified to (/ (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ alpha (+ beta i)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))) i))
* * * * [misc]progress:  [ 38 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))) (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (343 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* * * * [misc]progress:  [ 39 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))) (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* * * * [misc]progress:  [ 40 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 41 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 42 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 43 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (log1p (expm1 (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (expm1 (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 44 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (expm1 (log1p (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log1p (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 45 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1/2)) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 46 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (pow (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) 1)) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 47 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (exp (log (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 48 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (log (exp (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (exp (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 49 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (cube (cbrt (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 50 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (cbrt (cube (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 51 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (sqrt (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (sqrt (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 52 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (/ (sqrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)) (sqrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (fma i (+ beta alpha) (* i i))))
* [exit]simplify:  Simplified to (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (fma i (+ beta alpha) (* i i))))
* [enter]simplify:  Simplifying (sqrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (fabs (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (fabs (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 53 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)) (sqrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (fma i (+ i beta) (* i alpha)) (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (sqrt (* (/ (fma i (+ i beta) (* i alpha)) (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [enter]simplify:  Simplifying (sqrt (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (sqrt (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 54 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (/ (sqrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (280 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (fma (+ alpha i) i (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (sqrt (* (/ (fma (+ alpha i) i (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [enter]simplify:  Simplifying (sqrt (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (sqrt (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 55 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqr (sqrt (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 56 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (fabs (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 57 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (fabs (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 58 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (fabs (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 59 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (fabs (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 60 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* 1 (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 61 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (log1p (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 62 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (expm1 (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 63 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 64 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 65 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 66 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (exp (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* * * * [misc]progress:  [ 67 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (exp (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 68 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (exp (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 69 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 70 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (log (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (294 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 71 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (cbrt (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 72 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (cbrt (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * * * [misc]progress:  [ 73 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (cbrt (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 74 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 75 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (cbrt (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 76 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (cube (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 77 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 78 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (cube (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 79 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 80 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (sqr (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 81 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (sqr (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 82 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (sqr (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 83 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 84 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* 1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 85 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 86 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (/ 1 (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 87 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3)))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 88 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha))))) (- beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 89 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 90 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 91 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * * * [misc]progress:  [ 92 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (/ i (+ beta (fma i 2 alpha))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 93 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (log1p (expm1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 94 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (expm1 (log1p (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log1p (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 95 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (pow (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) 1) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 96 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (exp (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 97 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (exp (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 98 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (log (exp (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (exp (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 99 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (cbrt (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 100 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (cube (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 101 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (cbrt (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 102 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 103 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (sqr (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 104 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 105 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (- (+ (+ beta alpha) i)) (- (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (- (+ alpha (+ i beta)))
* [exit]simplify:  Simplified to (- (+ alpha (+ i beta)))
* [enter]simplify:  Simplifying (- (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 106 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (* (/ 1 1) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 107 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (* 1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 108 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (* (+ (+ beta alpha) i) (/ 1 (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 109 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ 1 (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* * * * [misc]progress:  [ 110 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (/ (+ (+ beta alpha) i) 1) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (+ alpha i)) 1)
* [exit]simplify:  Simplified to (/ (+ beta (+ alpha i)) 1)
* * * * [misc]progress:  [ 111 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ 1 (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* * * * [misc]progress:  [ 112 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (* (/ (+ (+ beta alpha) i) (- (pow beta 3) (pow (fma i 2 alpha) 3))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (- (pow beta 3) (pow (fma i 2 alpha) 3)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (- (cube beta) (cube (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (- (cube beta) (cube (fma i 2 alpha))))
* * * * [misc]progress:  [ 113 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 114 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (- (pow (+ beta alpha) 3) (pow i 3)) (* (+ beta (fma i 2 alpha)) (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (fma (- i (+ alpha beta)) i (sqr (+ alpha beta))))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (fma (- i (+ alpha beta)) i (sqr (+ alpha beta))))
* * * * [misc]progress:  [ 115 / 115 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (- (sqr (+ beta alpha)) (sqr i)) (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) 1)) (pow (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ i (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (/ 1 (fma i 2 alpha))))) into (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (+ (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) 0) (* (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (pow (fma i 2 alpha) 3))) (+ (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (- (/ i (sqr (fma i 2 alpha))))) (* (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (/ i (fma i 2 alpha))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 2)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i 2 alpha) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4)))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr i) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ i (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (fma i 2 alpha) 4)) into (* (sqr i) (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 5)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 5 in alpha
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 5)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 5))) into (pow (fma i 2 alpha) 5)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 5) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 5) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 5)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 5 in alpha
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 5)) into (* i (pow (fma i 2 alpha) 5))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (pow (fma i 2 alpha) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (* 0 (* i (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (pow (fma i 2 alpha) 4)))) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 32.0 in alpha
* [misc]backup-simplify:  Simplify 32.0 into 32.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (fma i 2 alpha) 4)) into (* (sqr i) (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* i (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 3) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 1 (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4)))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (sqr i) (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr i) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 1 (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16 in alpha
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (pow (fma i 2 alpha) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (* 0 (* i (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (pow (fma i 2 alpha) 4)))) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (pow (fma i 2 alpha) 6)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (fma i 2 alpha) 6)) into (* (sqr i) (pow (fma i 2 alpha) 6))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (pow (fma i 2 alpha) 6)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 6)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (pow (fma i 2 alpha) 6))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 6)))) into (pow (fma i 2 alpha) 6)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 6) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 6) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (pow (fma i 2 alpha) 6))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 6)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 6)) into (* i (pow (fma i 2 alpha) 6))
* [misc]backup-simplify:  Simplify (* 0 (* i (pow (fma i 2 alpha) 6))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 6))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (pow (fma i 2 alpha) 6)))) into (* i (pow (fma i 2 alpha) 6))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 6)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 6) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 8.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ 4.0 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 6 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 4.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (/ 4.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 6 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 6.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1.0 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (+ (/ 6.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))))) into (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))))) into (- (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (* 1/2 (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) into (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) into (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))) into (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) into (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) into (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (sqr (fma i 2 alpha)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (+ (* (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (sqr (fma i 2 alpha)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 6 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))) (/ 0 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))) into 0
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) (/ 0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 6 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (sqr (fma i 2 alpha)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (+ (* (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8.0 0) (* 0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (- (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) into (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) into (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))) into (/ 4.0 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (/ 4.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 4.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))) (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) into (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) (- (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) 0) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (/ 1.0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) 0) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (- (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (- (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))) into (- (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 0 (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))))) (* 0 (- (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))))) into (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) (sqr (* 1 (* 1 beta)))) (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (* 1 (* 1 beta))) (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2.0 (/ beta (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* beta (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (log i)) (+ (* 4.0 (/ (* (sqr beta) (pow (fma i 2 alpha) 4)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 3 (/ (sqr beta) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (sqr beta) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (sqr beta) (sqr (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 3.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (sqr beta) (pow (fma i 2 alpha) 6)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* beta (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (sqr beta) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* beta (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]approximate:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 i) (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 2)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 2) into (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i)))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) into (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr i)) 0) into (/ 1 (sqr i))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr i))) into (/ 1 (sqr i))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr i))) into (- (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (- (/ 1 (sqr i)))) into (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 i)) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2 i)) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 i))) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 i))) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ 1 i)))) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (/ 1 (sqr i)))) (+ (* 0 (- (* 2 (/ 1 i)))) (* 0 -1))) into (- (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (* 1/2 (/ 1 (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (* 1/2 (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) into (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) 0) into (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) into (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) (* 1 (* 1 (/ 1 beta)))) (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (- (+ (* 2 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))))) (+ (log i) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]approximate:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (+ (* 3 (log beta)) (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (log i))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 1) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))) into (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 4 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) 0) into (* 4 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 4 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))) 2)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (- (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) into (- (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 i)) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 i))) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 i))) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i))) into (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i)))) into (- (+ (* 2 (/ 1 i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* 2 (/ 1 i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 1 (sqr i)))) (+ (* 0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i))))) (* 0 -1))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 1/2 (/ 1 (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 1/2 (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) 0) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (* 1 (* 1 (/ 1 (- beta))))) (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)))) (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* 3 (log beta)) (* 2 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta)))))) (+ (log i) (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))) into (+ (log i) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))) into (+ (log i) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))
* [misc]backup-simplify:  Simplify (exp (+ (log i) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into (exp (+ (log i) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (exp (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (exp (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (exp (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (* (exp (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* (/ (pow (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) 1) 1)))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i) into (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i))
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) 0) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1.0 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (- (sqr (fma i 2 alpha)) 1.0)) 0) into (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (- (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into (- (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (- (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) 0) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) 1) (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) 0) (* 0 0))) into (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 0 0) (* 0 0))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ i (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (/ 1 (fma i 2 alpha))))) into (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (+ (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) 0) (* (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (pow (fma i 2 alpha) 3))) (+ (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (- (/ i (sqr (fma i 2 alpha))))) (* (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (/ i (fma i 2 alpha))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 2)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (* (exp (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* (/ (pow (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) 2) 2)) (* (/ (pow (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))))))) 1) 1)))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ i (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 3 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 2.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 2.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 3.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 3.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 3.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ 3.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) into (- (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (- (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))
* [misc]backup-simplify:  Simplify (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) i) into (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) i)) into (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (* i (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) into (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3.0 in i
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3.0 in i
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (/ 2.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (- (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 3 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) (/ 0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 3.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 3.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (/ 3.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 3.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))
* [misc]backup-simplify:  Simplify (- (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) into (- (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) 0) (* (- (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (/ 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) (/ 0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 0 (/ 0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3.0 0) (* 0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3.0 0) (* 0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (/ 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (- (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) 0) (* 0 0))) into (- (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (- (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))) (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (* 1.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* 1.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (* 0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (* 0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 2.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (sqr (fma i 2 alpha)) 1.0) (* i (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (- (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (- (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (- (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (+ (- (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) into (- (+ (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ (- (sqr (fma i 2 alpha)) 1.0) (* i (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (- (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (sqr (fma i 2 alpha)) 1.0) (* i (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (- (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))) (* 0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (- (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (* 0 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (- (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))
* [misc]backup-simplify:  Simplify (+ (- (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))) into (- (+ (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) into (- (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))) (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))) (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) into (- (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))) (- (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 6.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) 0) (* (- (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 6.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) i)) into (- (+ (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 5) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (+ (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 5) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (* 0 (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 7)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 7)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i)))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 7))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 7))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))))))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 5)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 5)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 5)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 5)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 5))) into (pow (fma i 2 alpha) 5)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 5)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 5)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) into (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 1 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log i)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 2 (log i)))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log i)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 2 (log i)))
* [misc]backup-simplify:  Simplify (exp (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 2 (log i)))) into (exp (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 2 (log i))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (log alpha))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (log alpha))
* [misc]backup-simplify:  Simplify (exp (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (log alpha))) into (exp (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (log alpha)))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) 1) 1)))) into (* (- (+ (/ 1 i) (/ 1 alpha)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ 1 i) (/ 1 alpha)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 i) (/ 1 alpha)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 i) (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 i) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) into (- (/ (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i) (* 4 (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i) (* 4 (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) 1) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* 4 (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 2)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 2) into (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i)))))))
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) 2) 2)) (* (/ (pow (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i))))))) 1) 1)))) into (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))))
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) into (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) into (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) into (- (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))
* [misc]backup-simplify:  Simplify (+ (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (- (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))) into (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))) (* 0 (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* 10 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 1.0 (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 4 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 10 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 1.0 (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 4 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 1.0 (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (+ (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) into (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 1 (* 1 (/ 1 beta)))) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (- (+ (* 1.0 (/ (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (+ (* 10 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta))) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))) beta)))
* [misc]approximate:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log i)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 2 (log i)))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log i)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 2 (log i)))
* [misc]backup-simplify:  Simplify (exp (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 2 (log i)))) into (exp (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 2 (log i))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (log alpha))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (log alpha))
* [misc]backup-simplify:  Simplify (exp (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (log alpha))) into (exp (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (log alpha)))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (+ (* 3 (log beta)) (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (log i))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 1) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (* (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) (+ (* (/ (pow (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) 1) 1)))) into (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (/ 1 i) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i)) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))) into (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))) (* 0 1)) into (+ (* 4 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha)))) (/ (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha)))) (/ (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) 1) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ -1 i) 2 (/ -1 alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) 0) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))) 2)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (* (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) (+ (* (/ (pow (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) 2) 2)) (* (/ (pow (* 1/2 (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) 1) 1)))) into (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) into (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) 0) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) (* 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (+ (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* 10 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* 10 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ -1 i) 2 (/ -1 alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) 0) into (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))) into (+ (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))) into (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1 (* 1 (/ 1 (- beta))))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (- (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (sqr beta))) (+ (* 1.0 (/ (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) beta)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (exp (log (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))))>
* [enter]simplify:  Simplifying (exp (log (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ i beta)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))
* * * * [misc]progress:  [ 2 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (exp (log (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)))))))>
* [enter]simplify:  Simplifying (exp (log (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (239 enodes)
* [exit]simplify:  Simplified to (fma (/ i beta) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * * * [misc]progress:  [ 3 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (exp (log (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)))))))>
* [enter]simplify:  Simplifying (exp (log (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (277 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow beta 4)) (* i (+ alpha i))))
* * * * [misc]progress:  [ 4 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (exp (log (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (log (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (400 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* alpha i) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (+ i beta)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 5 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (exp (log (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (log (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i (* (/ i beta) (+ i alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 6 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (exp (log (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (log (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (364 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (fma (/ i beta) alpha (fma (/ i beta) i i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 7 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (exp (- (+ (* 2.0 (/ beta (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* beta (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (log i)) (+ (* 4.0 (/ (* (sqr beta) (pow (fma i 2 alpha) 4)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 3 (/ (sqr beta) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (sqr beta) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (sqr beta) (sqr (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 3.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (sqr beta) (pow (fma i 2 alpha) 6)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* beta (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (sqr beta) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* beta (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))>
* [enter]simplify:  Simplifying (exp (- (+ (* 2.0 (/ beta (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* beta (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (log i)) (+ (* 4.0 (/ (* (sqr beta) (pow (fma i 2 alpha) 4)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 3 (/ (sqr beta) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (sqr beta) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (sqr beta) (sqr (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 3.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (sqr beta) (pow (fma i 2 alpha) 6)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* beta (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (sqr beta) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* beta (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))
* * [misc]simplify:  iters left: 6 (80 enodes)
* * [misc]simplify:  iters left: 5 (203 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (exp (- (+ (+ (- (fma (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) 2.0 (log (fma i (+ (+ i beta) alpha) (* beta alpha)))) (log (* (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (* (fma i 2 alpha) (fma i 2 alpha))))) (fma (/ 2.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (log i) 2))) (fma (/ (* (* beta beta) (pow (fma i 2 alpha) 4)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 4.0 (+ (* (/ (* beta beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ 3 (/ 1.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 4.0 (* (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))))) (+ (+ (fma 2 (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (* 4.0 beta) beta) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 2.0 (* (/ (* 2 beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (cube (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))) (fma 3.0 (/ (sqr (/ beta (fma i 2 alpha))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (fma (* (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 2.0 (/ (* (* 2 (* beta beta)) (pow (fma i 2 alpha) 6)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)))))))
* * * * [misc]progress:  [ 8 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (exp (- (+ (* 2 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))))) (+ (log i) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))>
* [enter]simplify:  Simplifying (exp (- (+ (* 2 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))))) (+ (log i) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* * [misc]simplify:  iters left: 2 (444 enodes)
* [exit]simplify:  Simplified to (* (/ (* (* (exp (/ (/ 1.0 beta) beta)) (cube beta)) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha))) i) (exp (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (- (* (/ 2 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 4))))
* * * * [misc]progress:  [ 9 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (exp (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)))) (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* 3 (log beta)) (* 2 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta)))))) (+ (log i) (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))>
* [enter]simplify:  Simplifying (exp (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)))) (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* 3 (log beta)) (* 2 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta)))))) (+ (log i) (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))))
* * [misc]simplify:  iters left: 6 (44 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (* (/ (exp (fma (sqr (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 2 (* (log beta) 3))) (/ i (fma (/ -1 i) (+ (+ (/ (- 1) alpha) (/ (- 1) i)) (/ (- 1) beta)) (/ (/ 1 beta) alpha)))) (exp (- (* (/ 1 beta) (/ 1.0 beta)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ beta 4)))))
* * * * [misc]progress:  [ 10 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (166 enodes)
* * [misc]simplify:  iters left: 3 (441 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (fma (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha)) (/ (* beta i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (* (/ alpha (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ i (* (fma i 2 alpha) (fma i 2 alpha))) (fma i (+ alpha (+ i beta)) (* beta alpha))))) (* (/ 1.0 (* (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (* (fma i 2 alpha) (fma i 2 alpha)))) (* (/ beta (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* i (fma i (+ alpha (+ i beta)) (* beta alpha))))))
* * * * [misc]progress:  [ 11 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* 1.0 (/ (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (+ (* 10 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta))) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))) beta))))>
* [enter]simplify:  Simplifying (- (+ (* 1.0 (/ (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (+ (* 10 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta))) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))) beta)))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (264 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (cube beta) i) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (/ beta (/ (cube beta) i))) (+ (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) 10) (/ beta (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1.0 beta)))) (/ (* (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (* (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube beta)) 4)) (* beta i)))
* * * * [misc]progress:  [ 12 / 113 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (sqr beta))) (+ (* 1.0 (/ (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) beta))))>
* [enter]simplify:  Simplifying (- (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (sqr beta))) (+ (* 1.0 (/ (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) beta)))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* * [misc]simplify:  iters left: 2 (460 enodes)
* [exit]simplify:  Simplified to (- (fma (* (fma (/ -1 i) (+ (+ (/ (- 1) i) (/ (- 1) beta)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ (cube beta) (* beta i))) (fma 10 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1.0 beta)) (* (/ (cube beta) i) (fma (/ -1 i) (+ (+ (/ (- 1) i) (/ (- 1) beta)) (/ (- 1) alpha)) (/ 1 (* beta alpha))))) (* (/ (fma (/ -1 i) (+ (+ (/ (- 1) i) (/ (- 1) beta)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ beta 4)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube beta)) i)))
* * * * [misc]progress:  [ 13 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (log1p (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 14 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (expm1 (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 15 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (pow (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) 1))))>
* * * * [misc]progress:  [ 16 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (exp (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 17 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (exp (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 18 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (exp (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (394 enodes)
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* * * * [misc]progress:  [ 19 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (exp (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (309 enodes)
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 20 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 21 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (log (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (320 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 22 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 23 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cbrt (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 24 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cbrt (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 25 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cbrt (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 26 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 27 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cbrt (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 28 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 29 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cube (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 30 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cube (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 31 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 32 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (sqr (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 33 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (sqr (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 34 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 35 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (sqr (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 36 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (sqr (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 37 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (457 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 38 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (* (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 39 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (* 1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* * * * [misc]progress:  [ 40 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 41 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* * * * [misc]progress:  [ 42 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (344 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 43 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 44 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))) (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* * * * [misc]progress:  [ 45 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))) (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* * * * [misc]progress:  [ 46 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 47 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 48 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 49 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (log1p (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 50 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (expm1 (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 51 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 52 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 53 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* * * * [misc]progress:  [ 54 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (exp (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* * * * [misc]progress:  [ 55 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (exp (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 56 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (exp (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 57 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 58 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (log (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (294 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 59 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (cbrt (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 60 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (cbrt (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * * * [misc]progress:  [ 61 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (cbrt (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 62 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 63 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (cbrt (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 64 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (cube (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 65 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 66 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (cube (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 67 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 68 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (sqr (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 69 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (sqr (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 70 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (sqr (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 71 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 72 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* 1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* * * * [misc]progress:  [ 73 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 74 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (/ 1 (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 75 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3)))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 76 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha))))) (- beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 77 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 78 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 79 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * * * [misc]progress:  [ 80 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (/ i (+ beta (fma i 2 alpha))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* * * * [misc]progress:  [ 81 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log1p (expm1 (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (expm1 (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (409 enodes)
* [exit]simplify:  Simplified to (expm1 (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (expm1 (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 82 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (expm1 (log1p (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log1p (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (409 enodes)
* [exit]simplify:  Simplified to (log1p (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log1p (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 83 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)) (log (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (log (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (log (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (log (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))
* [enter]simplify:  Simplifying (log (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (300 enodes)
* [exit]simplify:  Simplified to (log (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (log (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 84 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log 1) (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [exit]simplify:  Simplified to (log 1)
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 85 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [enter]simplify:  Simplifying (log (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (- (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (- (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 86 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))) (log (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (433 enodes)
* [exit]simplify:  Simplified to (log (/ (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (* (cube (+ (fma i 2 alpha) beta)) (cube (+ (fma i 2 alpha) beta))) (cube 1.0))))
* [exit]simplify:  Simplified to (log (/ (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (* (cube (+ (fma i 2 alpha) beta)) (cube (+ (fma i 2 alpha) beta))) (cube 1.0))))
* [enter]simplify:  Simplifying (log (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (410 enodes)
* [exit]simplify:  Simplified to (log (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (fma 1.0 (fma i 2 alpha) (* beta 1.0)) (+ (fma i 2 alpha) beta) (* 1.0 1.0))))
* [exit]simplify:  Simplified to (log (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (fma 1.0 (fma i 2 alpha) (* beta 1.0)) (+ (fma i 2 alpha) beta) (* 1.0 1.0))))
* * * * [misc]progress:  [ 87 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))) (log (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i)) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0))))
* [exit]simplify:  Simplified to (log (/ (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i)) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0))))
* [enter]simplify:  Simplifying (log (+ (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0))
* [exit]simplify:  Simplified to (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0))
* * * * [misc]progress:  [ 88 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [enter]simplify:  Simplifying (log (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 89 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (* 1 (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 90 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (pow (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) 1)))>
* * * * [misc]progress:  [ 91 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (exp (log (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (409 enodes)
* [exit]simplify:  Simplified to (log (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 92 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (425 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ i beta) alpha) (* alpha beta))))
* [exit]simplify:  Simplified to (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ i beta) alpha) (* alpha beta))))
* * * * [misc]progress:  [ 93 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (cube (cbrt (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cbrt (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (409 enodes)
* [exit]simplify:  Simplified to (cbrt (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (cbrt (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 94 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (cbrt (cube (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cube (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (396 enodes)
* [exit]simplify:  Simplified to (cube (log (/ (/ (* (* (+ (+ i beta) alpha) i) (fma i (+ (+ i beta) alpha) (* alpha beta))) (+ (fma i 2 alpha) beta)) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (log (/ (/ (* (* (+ (+ i beta) alpha) i) (fma i (+ (+ i beta) alpha) (* alpha beta))) (+ (fma i 2 alpha) beta)) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 95 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (sqr (sqrt (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (sqrt (log (/ (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 96 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (* 1 (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* * * * [misc]progress:  [ 97 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (expm1 (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (418 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (expm1 (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 98 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log1p (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (418 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log1p (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 99 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) 1))>
* * * * [misc]progress:  [ 100 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (exp 1) (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to E
* [exit]simplify:  Simplified to E
* * * * [misc]progress:  [ 101 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (exp 1) (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to E
* [exit]simplify:  Simplified to E
* * * * [misc]progress:  [ 102 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (log (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1))) (exp (log (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (exp (log (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [enter]simplify:  Simplifying (exp (log (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (393 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 103 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (log 1)) (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (exp (log 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (425 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ i beta) alpha) (* alpha beta))))
* [exit]simplify:  Simplified to (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ i beta) alpha) (* alpha beta))))
* * * * [misc]progress:  [ 104 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (exp (log (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (exp (log (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 105 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))))) (exp (log (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (419 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ i beta)))) (/ (+ (fma i 2 alpha) beta) i)) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (/ (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ i beta)))) (/ (+ (fma i 2 alpha) beta) i)) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [enter]simplify:  Simplifying (exp (log (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (411 enodes)
* [exit]simplify:  Simplified to (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (fma 1.0 (fma i 2 alpha) (* beta 1.0)) (+ (fma i 2 alpha) beta) (* 1.0 1.0)))
* [exit]simplify:  Simplified to (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (fma 1.0 (fma i 2 alpha) (* beta 1.0)) (+ (fma i 2 alpha) beta) (* 1.0 1.0)))
* * * * [misc]progress:  [ 106 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))))) (exp (log (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (* (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (* (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [enter]simplify:  Simplifying (exp (log (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0)
* [exit]simplify:  Simplified to (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0)
* * * * [misc]progress:  [ 107 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (exp (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (exp (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)
* [exit]simplify:  Simplified to (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)
* * * * [misc]progress:  [ 108 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (418 enodes)
* [exit]simplify:  Simplified to (log (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 109 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (exp (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (418 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (exp (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 110 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cbrt (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (418 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cbrt (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 111 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cube (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* * [misc]simplify:  iters left: 2 (442 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ i beta)))) (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (cube (* (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ i beta)))) (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 112 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (418 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (sqrt (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 113 / 113 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (alpha beta i) (cbrt (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))> #<alt-delta (λ (alpha beta i) (- (fma (* (fma (/ -1 i) (+ (+ (/ (- 1) i) (/ (- 1) beta)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ (cube beta) (* beta i))) (fma 10 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1.0 beta)) (* (/ (cube beta) i) (fma (/ -1 i) (+ (+ (/ (- 1) i) (/ (- 1) beta)) (/ (- 1) alpha)) (/ 1 (* beta alpha))))) (* (/ (fma (/ -1 i) (+ (+ (/ (- 1) i) (/ (- 1) beta)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ beta 4)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube beta)) i))))> #<alt-delta (λ (alpha beta i) (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))> #<alt-delta (λ (alpha beta i) (- (fma (/ (cube beta) i) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (/ beta (/ (cube beta) i))) (+ (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) 10) (/ beta (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1.0 beta)))) (/ (* (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (* (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube beta)) 4)) (* beta i))))> #<alt-delta (λ (alpha beta i) (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))> #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))> #<alt-delta (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i))))> #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))> #<alt-delta (λ (alpha beta i) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ i beta)) (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))))> #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))> #<alt-delta (λ (alpha beta i) (* (/ (* (* (exp (/ (/ 1.0 beta) beta)) (cube beta)) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha))) i) (exp (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (- (* (/ 2 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 4)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 beta 7.181513688320944e+151) #s(sp 1 beta +inf.0)) , with alts (#<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))> #<alt-delta (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i))))>)
* [misc]splitpoints:  intervals are:  ((#f . #s(sp 0 beta 7.181513688320944e+151)))
* [misc]splitpoints:  intervals are:  ((#s(sp 0 beta 7.181513688320944e+151) . #s(sp 1 beta +inf.0)))
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [enter]simplify:  Simplifying (fma (* (fma (/ -1 i) (+ (+ (/ (- 1) i) (/ (- 1) beta)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ (cube beta) (* beta i))) (fma 10 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1.0 beta)) (* (/ (cube beta) i) (fma (/ -1 i) (+ (+ (/ (- 1) i) (/ (- 1) beta)) (/ (- 1) alpha)) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (292 enodes)
* [exit]simplify:  Simplified to (fma (* (/ beta (/ i beta)) (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma 10 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1.0 beta)) (* (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ beta i) (sqr beta))))
* [exit]simplify:  Simplified to (fma (* (/ beta (/ i beta)) (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma 10 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1.0 beta)) (* (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ beta i) (sqr beta))))
* [enter]simplify:  Simplifying (* (/ (fma (/ -1 i) (+ (+ (/ (- 1) i) (/ (- 1) beta)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ beta 4)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube beta)) i))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (448 enodes)
* [exit]simplify:  Simplified to (* (/ (* (* (* 4 beta) (sqr beta)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) beta) (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ 1 (* beta alpha))))
* [exit]simplify:  Simplified to (* (/ (* (* (* 4 beta) (sqr beta)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) beta) (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ 1 (* beta alpha))))
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ i beta) (+ i alpha) i) beta) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))
* [exit]simplify:  Simplified to (* (/ (fma (/ i beta) (+ i alpha) i) beta) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))
* [enter]simplify:  Simplifying (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0))
* [exit]simplify:  Simplified to (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0))
* [enter]simplify:  Simplifying (fma (/ (cube beta) i) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (/ beta (/ (cube beta) i))) (+ (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) 10) (/ beta (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1.0 beta))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (253 enodes)
* [exit]simplify:  Simplified to (fma (/ (sqr beta) (/ i beta)) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) (* (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) (/ 1 beta)) (/ (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ beta 10)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1.0 beta)) (/ i beta))))
* [exit]simplify:  Simplified to (fma (/ (sqr beta) (/ i beta)) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) (* (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) (/ 1 beta)) (/ (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ beta 10)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1.0 beta)) (/ i beta))))
* [enter]simplify:  Simplifying (/ (* (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (* (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube beta)) 4)) (* beta i))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ (/ 1 beta) alpha)) (* (/ i (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ 1 4) (sqr beta))))
* [exit]simplify:  Simplified to (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ (/ 1 beta) alpha)) (* (/ i (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ 1 4) (sqr beta))))
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [enter]simplify:  Simplifying (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i)))) (/ 1 (* beta alpha))) (* beta beta))
* [exit]simplify:  Simplified to (/ (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i)))) (/ 1 (* beta alpha))) (* beta beta))
* [enter]simplify:  Simplifying (/ i beta)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ i beta)
* [exit]simplify:  Simplified to (/ i beta)
* [enter]simplify:  Simplifying (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ alpha i) (pow beta 4)) i) (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [exit]simplify:  Simplified to (* (* (/ (+ alpha i) (pow beta 4)) i) (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [enter]simplify:  Simplifying (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [enter]simplify:  Simplifying (/ (* (* (exp (/ (/ 1.0 beta) beta)) (cube beta)) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha))) i)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (/ (exp (/ (/ 1.0 beta) beta)) (/ i (cube beta))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ (/ 1 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (exp (/ (/ 1.0 beta) beta)) (/ i (cube beta))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ (/ 1 alpha) beta)))
* [enter]simplify:  Simplifying (exp (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (- (* (/ 2 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (pow (exp (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 2 beta)) 4))
* [exit]simplify:  Simplified to (pow (exp (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 2 beta)) 4))
* [enter]simplify:  Simplifying (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i)))) (/ 1 (* beta alpha))) (* beta beta))
* [exit]simplify:  Simplified to (/ (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i)))) (/ 1 (* beta alpha))) (* beta beta))
* [enter]simplify:  Simplifying (/ i beta)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ i beta)
* [exit]simplify:  Simplified to (/ i beta)
* [enter]simplify:  Simplifying (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ alpha i) (pow beta 4)) i) (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [exit]simplify:  Simplified to (* (* (/ (+ alpha i) (pow beta 4)) i) (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [enter]simplify:  Simplifying (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))
* [enter]simplify:  Simplifying (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ i beta))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (/ (* (+ beta i) i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))
* [exit]simplify:  Simplified to (/ (* (+ beta i) i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))
* [enter]simplify:  Simplifying (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (225 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i alpha) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i alpha) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))