* [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)
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ 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 (* (/ (+ (+ 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 (* (/ (+ (+ 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 (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 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]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta 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)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 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 beta) (/ 1 alpha)) (/ 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 beta) (/ 1 alpha)) (/ 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 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]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]taylor:  Taking taylor expansion of (- (* (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))) 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 (+ (/ (* (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)) 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))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (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 (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) in 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]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (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))) 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))) (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]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]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))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 1 (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) beta) (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)))
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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))))) 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 (- beta)) (/ 1 (- alpha))) (/ 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 (- beta)) (/ 1 (- alpha))) (/ 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 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 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) 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (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)) 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]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) (- (+ (/ 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 (fma (/ -1 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 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]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in 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 (- 0) into 0
* [misc]backup-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]taylor:  Taking taylor expansion of (+ (/ (* (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))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* (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)) 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) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]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]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 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [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 (+ (* (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 (+ (* (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 (+ (* (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 (* (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) (- (+ (/ 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in 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))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* 1 (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (sqr (fma i 2 alpha))) into (/ i (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ i (sqr (fma i 2 alpha))) 0) into (/ i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ i (sqr (fma i 2 alpha)))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) 0) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (* 1 (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (* 1 (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (fma i 2 alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (fma i 2 alpha)))) (/ 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (471 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (+ beta (+ i alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 8 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) beta) (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) beta) (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* * [misc]simplify:  iters left: 2 (419 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 9 / 131 ] 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* * [misc]simplify:  iters left: 2 (463 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 10 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (* (fma i (+ beta (+ i alpha)) (* beta alpha)) i)) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 11 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (477 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (fma (+ (/ i beta) (/ alpha beta)) (/ i (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 12 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (477 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (fma (+ (/ i beta) (/ alpha beta)) (/ i (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 13 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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 / 131 ] 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))))
* * [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 (expm1 (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (expm1 (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 82 / 131 ] 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))))
* * [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 (log1p (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log1p (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 83 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (pow (* (/ (+ (+ 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)))
* * [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 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (118 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:  [ 84 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (pow (* (/ (+ (+ 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:  [ 85 / 131 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (+ (log (fma i (+ beta (+ alpha i)) (* alpha beta))) (- (log (+ beta (+ alpha i))) (log (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (+ (log (fma i (+ beta (+ alpha i)) (* alpha beta))) (- (log (+ beta (+ alpha i))) (log (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 86 / 131 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (log (fma i (+ beta (+ alpha i)) (* alpha beta))))
* [exit]simplify:  Simplified to (+ (log (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (log (fma i (+ beta (+ alpha i)) (* alpha beta))))
* * * * [misc]progress:  [ 87 / 131 ] 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))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (log (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 88 / 131 ] 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))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (exp (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (exp (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 89 / 131 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 90 / 131 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (397 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ i beta) alpha) (* alpha beta))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ i beta) alpha) (* alpha beta))))
* * * * [misc]progress:  [ 91 / 131 ] 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))))
* * [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 (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (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))))
* * * * [misc]progress:  [ 92 / 131 ] 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))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (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))))
* * * * [misc]progress:  [ 93 / 131 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 94 / 131 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 95 / 131 ] 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))))
* * [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))))
* * * * [misc]progress:  [ 96 / 131 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 97 / 131 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (+ alpha i))) (sqrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (+ alpha i))) (sqrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 98 / 131 ] 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:  [ 99 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (+ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* i (+ (+ beta alpha) i))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* 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))) (* i (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (406 enodes)
* [exit]simplify:  Simplified to (* (/ i (+ (fma i 2 alpha) beta)) (* (+ (+ i beta) alpha) (+ (+ i beta) alpha)))
* [exit]simplify:  Simplified to (* (/ i (+ (fma i 2 alpha) beta)) (* (+ (+ i beta) alpha) (+ (+ i beta) alpha)))
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* alpha beta))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (* alpha beta))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (* alpha beta))
* * * * [misc]progress:  [ 100 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (+ (* (* i (+ (+ beta alpha) i)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (* (* alpha beta) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* i (+ (+ beta alpha) i)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (/ (+ (+ i alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (/ (+ (+ i alpha) beta) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (* (* alpha beta) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (/ (+ (fma i 2 alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (/ (+ (fma i 2 alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 101 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) 1) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 102 / 131 ] 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 (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [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 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (118 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:  [ 103 / 131 ] 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)))>
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [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 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (118 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:  [ 104 / 131 ] 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))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [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 (35 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 105 / 131 ] 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 (* (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma beta (- beta (fma i 2 alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma beta (- beta (fma i 2 alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))
* * * * [misc]progress:  [ 106 / 131 ] 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 (fma i 2 alpha)) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (* (- beta (fma i 2 alpha)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* [exit]simplify:  Simplified to (* (- beta (fma i 2 alpha)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* * * * [misc]progress:  [ 107 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (+ beta (fma i 2 alpha))) (/ i (+ 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)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (+ alpha (+ i beta)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (+ alpha (+ i beta)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* * * * [misc]progress:  [ 108 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 109 / 131 ] 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:  [ 110 / 131 ] 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:  [ 111 / 131 ] 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:  [ 112 / 131 ] 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:  [ 113 / 131 ] 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:  [ 114 / 131 ] 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:  [ 115 / 131 ] 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:  [ 116 / 131 ] 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:  [ 117 / 131 ] 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:  [ 118 / 131 ] 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:  [ 119 / 131 ] 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:  [ 120 / 131 ] 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:  [ 121 / 131 ] 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:  [ 122 / 131 ] 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:  [ 123 / 131 ] 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:  [ 124 / 131 ] 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:  [ 125 / 131 ] 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:  [ 126 / 131 ] 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:  [ 127 / 131 ] 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:  [ 128 / 131 ] 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:  [ 129 / 131 ] 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:  [ 130 / 131 ] 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:  [ 131 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (sqr (+ beta alpha)) (sqr i)) (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 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 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)
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 1 (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ i (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) 0) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))))) into (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (+ beta i)))) (/ 1 (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (- (sqr (fma i 2 alpha)) 1.0)) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) i) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) into (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))
* [misc]backup-simplify:  Simplify (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))) into (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (+ (* (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))))) into (- (* 1.0 (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (/ (sqr (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (/ (sqr (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (* 2 (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (- (* 1.0 (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (/ (sqr (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha)) into (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 i)) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha))) into (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (* 1/2 (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) 1) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) i) 0) (* (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) (* i (* 1 1))) (+ (* (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) (* 1 (* alpha 1))) (* (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) (* 1 (* 1 beta))))) into (+ (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) (+ (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ alpha (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ beta (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into (* (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 alpha)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]backup-simplify:  Simplify (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (* 2 (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (* +nan.0 (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) 0) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta))))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 3)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ -1 alpha)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (/ 1 beta) (/ 1 alpha))) 0) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]backup-simplify:  Simplify (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (* 2 (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into (* 1/2 (* (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (/ (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (* +nan.0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (* 0 (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta)))))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 3)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (pow beta 4))))))))
* * * * [misc]progress:  [ 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)
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ 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 (* (/ (+ (+ 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 (* (/ (+ (+ 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 (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 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]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta 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)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 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 beta) (/ 1 alpha)) (/ 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 beta) (/ 1 alpha)) (/ 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 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]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]taylor:  Taking taylor expansion of (- (* (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))) 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 (+ (/ (* (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)) 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))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (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 (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) in 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]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (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))) 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))) (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]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]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))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 1 (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) beta) (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)))
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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))))) 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 (- beta)) (/ 1 (- alpha))) (/ 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 (- beta)) (/ 1 (- alpha))) (/ 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 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 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) 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (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)) 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]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) (- (+ (/ 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 (fma (/ -1 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 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]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in 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 (- 0) into 0
* [misc]backup-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]taylor:  Taking taylor expansion of (+ (/ (* (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))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* (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)) 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) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]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]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 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [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 (+ (* (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 (+ (* (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 (+ (* (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 (* (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) (- (+ (/ 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in 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))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* 1 (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1)
* * * * [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 1 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ i beta)) (* (/ (* alpha i) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))
* * * * [misc]progress:  [ 2 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (241 enodes)
* [exit]simplify:  Simplified to (fma (/ i beta) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (* beta beta)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (pow beta 4)) (* i (+ i alpha))))
* * * * [misc]progress:  [ 3 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (* i (+ alpha i))))
* * * * [misc]progress:  [ 4 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (+ (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) (+ (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ alpha (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (sqr (+ (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) (+ (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ alpha (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* [exit]simplify:  Simplified to (sqr (* (sqrt (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (+ (/ i (fma i 2 alpha)) (+ (/ (* 1/2 beta) (fma i 2 alpha)) (/ (* alpha 1/2) (fma i 2 alpha))))))
* * * * [misc]progress:  [ 5 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4))))))))))>
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4)))))))))
* * * * [misc]progress:  [ 6 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (pow beta 4))))))))))>
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (pow beta 4)))))))))
* * * * [misc]progress:  [ 7 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (+ i beta)) (/ (* alpha i) (fma i 2 alpha)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 8 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (333 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (+ i (* (/ i beta) (+ alpha i)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 9 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (363 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (+ (/ (- 1) i) (+ (/ (- 1) alpha) (/ (- 1) beta))) (/ 1 (* alpha beta))) beta) (fma (/ i beta) alpha (fma (/ i beta) i i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 10 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (/ (* (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (fma i 2 alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (/ (* (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (fma i 2 alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* * [misc]simplify:  iters left: 2 (476 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (fma i 2 alpha)) (+ (+ alpha beta) i)) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 11 / 129 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (/ (* (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) beta) (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (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))) alpha) beta) (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (444 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 12 / 129 ] 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* * [misc]simplify:  iters left: 2 (468 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 13 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (log1p (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 14 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (expm1 (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 15 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (pow (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) 1))))>
* * * * [misc]progress:  [ 16 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (exp (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 17 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (exp (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 18 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (exp (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (394 enodes)
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* * * * [misc]progress:  [ 19 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (exp (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (309 enodes)
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 20 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 21 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (log (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (320 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 22 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 23 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cbrt (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 24 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cbrt (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 25 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cbrt (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 26 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 27 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cbrt (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 28 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 29 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cube (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 30 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cube (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 31 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 32 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (sqr (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 33 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (sqr (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 34 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 35 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (sqr (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 36 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (sqr (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 37 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (457 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 38 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (* (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 39 / 129 ] 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:  [ 40 / 129 ] 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:  [ 41 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* * * * [misc]progress:  [ 42 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (344 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 43 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 44 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))) (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* * * * [misc]progress:  [ 45 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))) (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* * * * [misc]progress:  [ 46 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 47 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 48 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 49 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (log1p (expm1 (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (expm1 (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 50 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (expm1 (log1p (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (log1p (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 51 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (pow (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) 1/2)))>
* * * * [misc]progress:  [ 52 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (pow (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) 1)))>
* * * * [misc]progress:  [ 53 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (exp (log (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (log (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (log (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 54 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (log (exp (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (exp (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 55 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (cube (cbrt (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 56 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (cbrt (cube (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (333 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))) (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (sqrt (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))) (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 57 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (* (sqrt (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)) (sqrt (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))))
* [enter]simplify:  Simplifying (sqrt (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (282 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (sqrt (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 58 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (* (sqrt 1) (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 59 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (* (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [enter]simplify:  Simplifying (sqrt (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (sqrt (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 60 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (* (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))) (sqrt (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (fma 1.0 (fma i 2 alpha) (* beta 1.0)) (+ (fma i 2 alpha) beta) (* 1.0 1.0))))
* [exit]simplify:  Simplified to (sqrt (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (fma 1.0 (fma i 2 alpha) (* beta 1.0)) (+ (fma i 2 alpha) beta) (* 1.0 1.0))))
* * * * [misc]progress:  [ 61 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (* (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))) (sqrt (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i)) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i)) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0))
* [exit]simplify:  Simplified to (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0))
* * * * [misc]progress:  [ 62 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [enter]simplify:  Simplifying (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 63 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqr (sqrt (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 64 / 129 ] 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:  [ 65 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (fabs (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* * * * [misc]progress:  [ 66 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (fabs (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* * * * [misc]progress:  [ 67 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (fabs (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* * * * [misc]progress:  [ 68 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (fabs (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* * * * [misc]progress:  [ 69 / 129 ] 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:  [ 70 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (log1p (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 71 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (expm1 (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 72 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 73 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 74 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* * * * [misc]progress:  [ 75 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (exp (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* * * * [misc]progress:  [ 76 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (exp (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 77 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (exp (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 78 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 79 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (log (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (294 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 80 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (cbrt (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 81 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (cbrt (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * * * [misc]progress:  [ 82 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (cbrt (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 83 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 84 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (cbrt (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 85 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (cube (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 86 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 87 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (cube (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 88 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 89 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (sqr (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 90 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (sqr (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 91 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (sqr (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 92 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 93 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* 1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* * * * [misc]progress:  [ 94 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 95 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (/ 1 (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 96 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3)))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 97 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha))))) (- beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 98 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 99 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 100 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * * * [misc]progress:  [ 101 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (/ i (+ beta (fma i 2 alpha))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* * * * [misc]progress:  [ 102 / 129 ] 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))))
* * [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 (expm1 (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (expm1 (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 103 / 129 ] 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))))
* * [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 (log1p (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log1p (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 104 / 129 ] 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))) 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)))
* * [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 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (118 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:  [ 105 / 129 ] 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))) 1) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* * * * [misc]progress:  [ 106 / 129 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (+ (log (fma i (+ beta (+ alpha i)) (* alpha beta))) (- (log (+ beta (+ alpha i))) (log (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (+ (log (fma i (+ beta (+ alpha i)) (* alpha beta))) (- (log (+ beta (+ alpha i))) (log (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 107 / 129 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (log (fma i (+ beta (+ alpha i)) (* alpha beta))))
* [exit]simplify:  Simplified to (+ (log (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (log (fma i (+ beta (+ alpha i)) (* alpha beta))))
* * * * [misc]progress:  [ 108 / 129 ] 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))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (log (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 109 / 129 ] 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))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (exp (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (exp (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 110 / 129 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 111 / 129 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (397 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ i beta) alpha) (* alpha beta))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ i beta) alpha) (* alpha beta))))
* * * * [misc]progress:  [ 112 / 129 ] 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))))
* * [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 (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (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))))
* * * * [misc]progress:  [ 113 / 129 ] 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))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (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))))
* * * * [misc]progress:  [ 114 / 129 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 115 / 129 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 116 / 129 ] 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))))
* * [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))))
* * * * [misc]progress:  [ 117 / 129 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 118 / 129 ] 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))))) (/ 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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (+ alpha i))) (sqrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (+ alpha i))) (sqrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 119 / 129 ] 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:  [ 120 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (+ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* i (+ (+ beta alpha) i))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* 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))) (* i (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (406 enodes)
* [exit]simplify:  Simplified to (* (/ i (+ (fma i 2 alpha) beta)) (* (+ (+ i beta) alpha) (+ (+ i beta) alpha)))
* [exit]simplify:  Simplified to (* (/ i (+ (fma i 2 alpha) beta)) (* (+ (+ i beta) alpha) (+ (+ i beta) alpha)))
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* alpha beta))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (* alpha beta))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (* alpha beta))
* * * * [misc]progress:  [ 121 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (+ (* (* i (+ (+ beta alpha) i)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (* (* alpha beta) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (* (* i (+ (+ beta alpha) i)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (/ (+ (+ i alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (/ (+ (+ i alpha) beta) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (* (* alpha beta) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (/ (+ (fma i 2 alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (/ (+ (fma i 2 alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 122 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (* (/ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 123 / 129 ] 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 (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [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 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (118 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:  [ 124 / 129 ] 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)))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [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 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (118 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:  [ 125 / 129 ] 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))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [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 (35 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 126 / 129 ] 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 (* (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma beta (- beta (fma i 2 alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma beta (- beta (fma i 2 alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))
* * * * [misc]progress:  [ 127 / 129 ] 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 (fma i 2 alpha)) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (* (- beta (fma i 2 alpha)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* [exit]simplify:  Simplified to (* (- beta (fma i 2 alpha)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* * * * [misc]progress:  [ 128 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (/ (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (+ beta (fma i 2 alpha))) (/ i (+ 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)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (+ alpha (+ i beta)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (+ alpha (+ i beta)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* * * * [misc]progress:  [ 129 / 129 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* * * [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) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) into (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) into (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) into (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (- (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (- (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) into (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (- (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (- (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (sqr (* 1 (* 1 beta)))) (+ (* (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1 (* 1 beta))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (* 4 (/ (* (sqr beta) (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (sqr beta) (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* beta (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) 1) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) 1) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) into (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) into (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) into (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (pow (* 1 (* 1 (/ 1 beta))) 4)) (+ (* (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) (pow (* 1 (* 1 (/ 1 beta))) 3)) (* (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr (* 1 (* 1 (/ 1 beta))))))) into (- (+ (* 1.0 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (pow beta 4))) (+ (* 3 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 4))) (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr beta)))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 3))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) 1) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) 1) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))
* [misc]backup-simplify:  Simplify (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) into (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))) into (+ (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))) into (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) into (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (pow (* 1 (* 1 (/ 1 (- beta)))) 4)) (+ (* (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (pow (* 1 (* 1 (/ 1 (- beta)))) 3)) (* (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))))) into (- (+ (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (sqr beta)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 4))) (* 1.0 (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 4))))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 3))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]approximate:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) into (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) into (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (+ (* 0 0) (* 0 (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (* 0 (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (* 0 (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (+ (* 0 0) (* 0 (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (* 0 (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (* 0 (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (* 0 (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) 0) (+ (* 0 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (+ (* 0 0) (* 0 (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* 4 (/ (* (sqr beta) (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (sqr beta) (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* beta (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))>
* [enter]simplify:  Simplifying (- (+ (* 4 (/ (* (sqr beta) (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (sqr beta) (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* beta (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (89 enodes)
* * [misc]simplify:  iters left: 4 (177 enodes)
* * [misc]simplify:  iters left: 3 (402 enodes)
* [exit]simplify:  Simplified to (- (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (- (fma 2 (* (/ (* (/ (* (fma i 2 alpha) i) (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ beta (- (sqr (fma i 2 alpha)) 1.0))) (* (/ (* beta beta) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (/ (* (* beta beta) 4) (* (/ (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (/ (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (fma i 2 alpha)))))))
* * * * [misc]progress:  [ 2 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* 1.0 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (pow beta 4))) (+ (* 3 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 4))) (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr beta)))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 3)))))>
* [enter]simplify:  Simplifying (- (+ (* 1.0 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (pow beta 4))) (+ (* 3 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 4))) (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr beta)))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 3))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (152 enodes)
* * [misc]simplify:  iters left: 3 (331 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (/ 1 i) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) beta) (fma 1.0 (* (/ (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (pow beta 4)) (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))) (* (/ (* (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (pow beta 4) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))))) (* (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta beta)) (* (/ (/ 1 i) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))))))
* * * * [misc]progress:  [ 3 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (sqr beta)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 4))) (* 1.0 (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 4))))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 3)))))>
* [enter]simplify:  Simplifying (- (+ (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (sqr beta)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 4))) (* 1.0 (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 4))))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 3))))
* * [misc]simplify:  iters left: 6 (56 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (223 enodes)
* * [misc]simplify:  iters left: 3 (382 enodes)
* [exit]simplify:  Simplified to (+ (/ (* (* (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* beta beta)) (fma 1.0 (/ (* (* (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (pow beta 4)) (* (* (* (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) 3) (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (/ 2 beta) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* beta beta)))))))
* * * * [misc]progress:  [ 4 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (271 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) (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 5 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (288 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 6 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (325 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i)))) (/ (/ 1 beta) alpha))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 7 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (282 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 8 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (/ (/ 1 beta) alpha)) (/ (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* * * * [misc]progress:  [ 9 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (sqr (+ 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 (111 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (431 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ (/ -1 beta) (/ -1 alpha)) (/ -1 i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 alpha)) (/ -1 i)) (/ (/ 1 beta) alpha))))
* * * * [misc]progress:  [ 10 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (282 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 11 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (/ (/ 1 beta) alpha)) (/ (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* * * * [misc]progress:  [ 12 / 96 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (230 enodes)
* * [misc]simplify:  iters left: 2 (372 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (+ (/ -1 alpha) (+ (/ -1 beta) (/ -1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ (+ (/ -1 alpha) (+ (/ -1 beta) (/ -1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* * * * [misc]progress:  [ 13 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (/ (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 (expm1 (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (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) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (expm1 (/ (* (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) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 14 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (/ (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 (log1p (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (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) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log1p (/ (* (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) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 15 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (/ (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)) 1))>
* * * * [misc]progress:  [ 16 / 96 ] 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))))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (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))))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (- (log (* (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (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 (* (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (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:  [ 17 / 96 ] 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 (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)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (log (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (log (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 18 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (/ (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 (exp (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* [exit]simplify:  Simplified to (exp (/ (* (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) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (exp (/ (* (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) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 19 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (cube (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))))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cube (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))))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (421 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 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 (* (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 20 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (/ (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 (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (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) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cbrt (/ (* (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) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 21 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (/ (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 (cube (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* [exit]simplify:  Simplified to (cube (/ (* (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) (/ 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))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 22 / 96 ] 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:  [ 23 / 96 ] 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 (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)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (sqrt (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 24 / 96 ] 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))))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (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))))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (432 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha beta))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha beta))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 25 / 96 ] 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 (- (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)))))))
* * [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 (104 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* [exit]simplify:  Simplified to (* (/ (- i) (+ (fma i 2 alpha) beta)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ (- i) (+ (fma i 2 alpha) beta)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (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 / 96 ] 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))))) 1) (/ (cube (cbrt (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (328 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 (/ (cube (cbrt (/ 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 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (403 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 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) 1) (/ (* (* (* (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 (/ (+ (+ 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))))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) 1) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) 1) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [enter]simplify:  Simplifying (/ (* (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (224 enodes)
* * [misc]simplify:  iters left: 1 (368 enodes)
* [exit]simplify:  Simplified to (/ (sqr (* (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))))) (/ (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (/ (sqr (* (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))))) (/ (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 28 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 1) (/ (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 (/ 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 (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (275 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 29 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* * * * [misc]progress:  [ 30 / 96 ] 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)))))) (/ 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:  [ 31 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (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)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (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)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (370 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ i (+ alpha beta)) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ i (+ alpha beta)) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha)))))
* * * * [misc]progress:  [ 32 / 96 ] 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)))))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (346 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 33 / 96 ] 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))))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (/ i (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (489 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:  [ 34 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (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) (* (* (* (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 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (* (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 (/ (+ (+ 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (325 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (cbrt (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta)))) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta i) alpha) (* beta alpha))))) (* (cbrt (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta))) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta i) alpha) (* beta alpha))))))
* [exit]simplify:  Simplified to (/ (/ (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (cbrt (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta)))) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta i) alpha) (* beta alpha))))) (* (cbrt (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta))) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta i) alpha) (* beta alpha))))))
* * * * [misc]progress:  [ 35 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (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)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (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)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (370 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ i (+ alpha beta)) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ i (+ alpha beta)) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha)))))
* * * * [misc]progress:  [ 36 / 96 ] 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)))))) (- (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 (/ (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)))))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (cube (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (cube (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (cube 1.0)))
* * * * [misc]progress:  [ 37 / 96 ] 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 (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))) (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ (fma i 2 alpha) beta))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (* (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ (fma i 2 alpha) beta))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* * * * [misc]progress:  [ 38 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (+ (+ beta alpha) i)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (sqr (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (sqr (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 39 / 96 ] 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))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (243 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:  [ 40 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (+ (+ beta alpha) i)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (243 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:  [ 41 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log1p (expm1 (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 (expm1 (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (expm1 (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (expm1 (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 42 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (expm1 (log1p (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 (log1p (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (log1p (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (log1p (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 43 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (pow (fma i (+ (+ beta alpha) i) (* alpha beta)) 1/3)) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 44 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (pow (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 45 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (exp (log (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 (log (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (log (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (log (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 46 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (exp (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 (exp (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (exp (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (exp (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 47 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (* (cbrt 1) (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 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [exit]simplify:  Simplified to (cbrt 1)
* [enter]simplify:  Simplifying (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (cbrt (fma i (+ (+ i alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (cbrt (fma i (+ (+ i alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 48 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (cbrt (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 (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (cbrt (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 49 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (cube (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 (cube (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 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 (fma i (+ alpha (+ i beta)) (* beta alpha))
* [exit]simplify:  Simplified to (fma i (+ alpha (+ i beta)) (* beta alpha))
* * * * [misc]progress:  [ 50 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqr (sqrt (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 (sqrt (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (sqrt (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 51 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (* 1 (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 52 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (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 (expm1 (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)))))))
* * [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 (92 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (301 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (expm1 (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 53 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (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 (log1p (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)))))))
* * [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 (92 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (301 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log1p (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 54 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) 3) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 55 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (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)))))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 56 / 96 ] 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 (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)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (214 enodes)
* * [misc]simplify:  iters left: 1 (437 enodes)
* [exit]simplify:  Simplified to (log (* (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (log (* (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 57 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (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 (exp (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)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (320 enodes)
* [exit]simplify:  Simplified to (exp (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ i beta))))))
* [exit]simplify:  Simplified to (exp (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ i beta))))))
* * * * [misc]progress:  [ 58 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (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 (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)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (fma i (+ alpha (+ i beta)) (* alpha beta)))))
* [exit]simplify:  Simplified to (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (fma i (+ alpha (+ i beta)) (* alpha beta)))))
* * * * [misc]progress:  [ 59 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (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 (cube (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)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* [exit]simplify:  Simplified to (cube (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (cube (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 60 / 96 ] 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))))) (cube (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (249 enodes)
* [exit]simplify:  Simplified to (* (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (fma i (+ beta (+ alpha i)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (fma i (+ beta (+ alpha i)) (* alpha beta)))
* [enter]simplify:  Simplifying (cube (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ i (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ i (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 61 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (cube (* (* (cbrt (+ (+ beta alpha) i)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i))) (cube (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (* (cbrt (+ (+ beta alpha) i)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (303 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* i (+ (+ alpha i) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* i (+ (+ alpha i) beta)))
* [enter]simplify:  Simplifying (cube (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (109 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:  [ 62 / 96 ] 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))) (cube (cbrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (/ (* (* (+ (+ alpha i) beta) i) (fma i (+ (+ alpha i) beta) (* alpha beta))) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (* (* (+ (+ alpha i) beta) i) (fma i (+ (+ alpha i) beta) (* alpha beta))) (+ (fma i 2 alpha) beta))
* [enter]simplify:  Simplifying (cube (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* * * * [misc]progress:  [ 63 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (cube (* (* (cbrt (+ (+ beta alpha) i)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (cube (cbrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (* (cbrt (+ (+ beta alpha) i)) (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 (30 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (296 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* i (+ (+ alpha i) beta))) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* i (+ (+ alpha i) beta))) (+ beta (fma i 2 alpha)))
* [enter]simplify:  Simplifying (cube (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* * * * [misc]progress:  [ 64 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (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 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (* (* (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))))) (* (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (sqr (* (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* [exit]simplify:  Simplified to (sqr (* (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * * * [misc]progress:  [ 65 / 96 ] 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 (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)))))))
* * [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 (92 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (301 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (sqrt (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 66 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 67 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (log1p (expm1 (* (* (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 (expm1 (* (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (expm1 (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (expm1 (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 68 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (expm1 (log1p (* (* (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 (log1p (* (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (log1p (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (log1p (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 69 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1/3)) (- (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:  [ 70 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (pow (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) 1)) (- (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:  [ 71 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (pow (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) 1)) (- (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:  [ 72 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (pow (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) 1)) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 73 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (exp (+ (+ (log (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (log (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (log (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (log (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (log (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (log (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (/ i (+ (fma i 2 alpha) beta)))) (+ (log (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))))
* [exit]simplify:  Simplified to (+ (log (cbrt (/ i (+ (fma i 2 alpha) beta)))) (+ (log (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))))
* * * * [misc]progress:  [ 74 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (exp (+ (log (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (log (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (log (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (/ i (+ (fma i 2 alpha) beta)))) (log (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))))
* [exit]simplify:  Simplified to (+ (log (cbrt (/ i (+ (fma i 2 alpha) beta)))) (log (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))))
* * * * [misc]progress:  [ 75 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (exp (log (* (* (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 (log (* (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* [exit]simplify:  Simplified to (log (* (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (log (* (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 76 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (log (exp (* (* (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 (exp (* (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* [exit]simplify:  Simplified to (exp (* (* (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (exp (* (* (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 77 / 96 ] 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 (* (* (/ (+ (+ 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:  [ 78 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (cube (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cube (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (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 (31 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (182 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)))
* * * * [misc]progress:  [ 79 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cube (cbrt (* (* (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 (* (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 80 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (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 (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))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (315 enodes)
* [exit]simplify:  Simplified to (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 81 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cube (* (cbrt (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (cbrt (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (cbrt (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))))
* [exit]simplify:  Simplified to (* (cbrt (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))))
* * * * [misc]progress:  [ 82 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cube (* (* (cbrt (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (cbrt (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (cbrt (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (cbrt (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (cbrt (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))))) (cbrt (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (* (* (cbrt (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))))) (cbrt (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 83 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (sqr (sqrt (* (* (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 (sqrt (* (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (sqrt (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 84 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (sqr (* (sqrt (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (sqrt (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (sqrt (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (/ i (+ (fma i 2 alpha) beta)))) (sqrt (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))))
* [exit]simplify:  Simplified to (* (sqrt (cbrt (/ i (+ (fma i 2 alpha) beta)))) (sqrt (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))))
* * * * [misc]progress:  [ 85 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (sqr (* (* (sqrt (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (sqrt (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (sqrt (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqrt (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (sqrt (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (sqrt (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (cbrt (/ i (+ (fma i 2 alpha) beta)))) (sqrt (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))))) (sqrt (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (* (* (sqrt (cbrt (/ i (+ (fma i 2 alpha) beta)))) (sqrt (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))))) (sqrt (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 86 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (/ (* (* (cbrt (+ (+ beta alpha) i)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i)) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (+ (+ beta alpha) i)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ alpha (+ i beta)) (* alpha beta))) (* (cbrt i) (cbrt (+ alpha (+ i beta)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ alpha (+ i beta)) (* alpha beta))) (* (cbrt i) (cbrt (+ alpha (+ i beta)))))
* [enter]simplify:  Simplifying (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqr (cbrt (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (sqr (cbrt (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 87 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* 1 (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 88 / 96 ] 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 1)) (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 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt 1)) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt 1)) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 89 / 96 ] 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)) (cbrt (/ 1 (+ 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))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i))
* * * * [misc]progress:  [ 90 / 96 ] 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 (- (pow beta 3) (pow (fma i 2 alpha) 3))))) (cbrt (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* 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 (- (pow beta 3) (pow (fma i 2 alpha) 3)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (- (cube beta) (cube (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (- (cube beta) (cube (fma i 2 alpha))))))
* * * * [misc]progress:  [ 91 / 96 ] 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 (- (sqr beta) (sqr (fma i 2 alpha)))))) (cbrt (- 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 (- (sqr beta) (sqr (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (/ i (+ (fma i 2 alpha) beta)) (- beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (/ i (+ (fma i 2 alpha) beta)) (- beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 92 / 96 ] 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)))) 1) (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)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 93 / 96 ] 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 (fma i (+ (+ beta alpha) i) (* alpha beta))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ i beta) alpha) (* beta alpha))))
* [exit]simplify:  Simplified to (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ i beta) alpha) (* beta alpha))))
* * * * [misc]progress:  [ 94 / 96 ] 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)) (cbrt (+ 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))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt i))
* * * * [misc]progress:  [ 95 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (/ (* (* (cbrt (+ (+ beta alpha) i)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (+ (+ beta alpha) i)) (cbrt (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 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ (+ beta alpha) i))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ (+ beta alpha) i))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * * * [misc]progress:  [ 96 / 96 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))) beta)
* [exit]simplify:  Simplified to (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))) beta)
* [enter]simplify:  Simplifying (/ i (* beta beta))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ i (* beta beta))
* [exit]simplify:  Simplified to (/ i (* beta beta))
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (/ (* (+ i alpha) i) (pow beta 4)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))))
* [exit]simplify:  Simplified to (* (/ (* (+ i alpha) i) (pow beta 4)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))))
* [enter]simplify:  Simplifying (- (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)))
* [enter]simplify:  Simplifying (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ 1 (* alpha beta))) (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ 1 (* alpha beta))))
* [exit]simplify:  Simplified to (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ 1 (* alpha beta))) (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ 1 (* alpha 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 (/ (* (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))))
* [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)))
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (288 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* [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))))
* [enter]simplify:  Simplifying (/ (* (* (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* beta beta))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (311 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (* beta (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ (/ 1 beta) alpha)) (* (/ beta (/ -1 i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [exit]simplify:  Simplified to (* (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (* beta (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ (/ 1 beta) alpha)) (* (/ beta (/ -1 i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [enter]simplify:  Simplifying (fma 1.0 (/ (* (* (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (pow beta 4)) (* (* (* (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) 3) (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (/ 2 beta) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* beta beta))))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (346 enodes)
* [exit]simplify:  Simplified to (fma 1.0 (* (/ (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ (/ 1 beta) alpha)) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)))) (/ (/ -1 i) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (pow beta 4)))) (* (* (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) 3) (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ (/ 2 beta) beta)))) (* (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ (/ 1 beta) alpha)) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [exit]simplify:  Simplified to (fma 1.0 (* (/ (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ (/ 1 beta) alpha)) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)))) (/ (/ -1 i) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (pow beta 4)))) (* (* (/ (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) 3) (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ (/ 2 beta) beta)))) (* (fma (/ -1 i) (+ (+ (/ -1 beta) (/ -1 i)) (/ -1 alpha)) (/ (/ 1 beta) alpha)) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [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)))
* [enter]simplify:  Simplifying (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (/ (/ 1 beta) alpha)) (/ (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 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 (/ (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 (/ (* (* (/ (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))))))